Question:
A population of insects, in thousands, can be modeled using the function
, where t is time in months. Which statement best
describes the population of insects?
A. The population is decaying at a rate of 3% each month.
B. The population is decaying at a rate of 25% each month.
C. The population is growing at a rate of 75% each month.
D. The population is growing at a rate of 97% each month.
Answer:
A. The population is decaying at a rate of 3% each month.
Step-by-step explanation:
Given
Required
True statement about the function
From the options, we can see that we are to answer the question on the basis of decay and growing rates.
An exponential form is:
Compare to
If 
, then 
r represents growth rate
else, 
r represents decay rate
Since b < 0.97:
Answer:
5) 8/17 = .471
7) 8/17 = .471
8) 15/17 = .88
Step-by-step explanation:
hope that helps
Answer:
Step-by-step explanation:
Each rotation is 360° or 2π radians. So, 36.7 rotations is ...
36.7×360° = 13,212°
or
36.7×2π = 73.4π radians
Step-by-step explanation:
Given that the graph shows the normal distribution of the length of similar components produced by a company with a mean of 5 centimeters and a standard deviation of 0.02 centimeters.
A component is chosen at random, the probability that the length of this component is between 4.98 centimeters and 5.02
=P(|z|<1) (since 1 std dev on either side of the mean)
=2(0.3418)
=0.6826
=68.26%
The probability that the length of this component is between 5.02 centimeters and 5.04 centimeters is
=P(1<z<2) (since between 1 and 2 std dev from the mean)
=0.475-0.3418
=0.3332
=33.32%
Answer:
$1107.55
Step-by-step explanation:
3,589.90 x .0590/12 = $17.65
3,589.90 + 17.65 =3,607.55
3,607.55 - 2,500 = $1,107.55
